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Allen's Astrophysical Quantities Fourth Edition Allen's Astrophysical Quantities Fourth Edition Arthur N. Cox Editor AIP eR~ 'Springer ArthurN. Cox Theoretical Division Los Alamos National Laboratory MS B288 P.O. Box 1663 Los Alamos, NM 87545 USA anc@ lanl.gov Cover illustration: An international team of astronomers, led by Dr. Wendy Freedman of the Observatories of the Carnegie Institution of Washington, Robert Kennicutt of the University of Arizona, and Jeremy Mould of the Australian National University observed this spiral galaxy NGC 4414 on 13 different occasions over the course of two months. (AURA/STScJJNASA) In 1995, the majestic spiral galaxy NGC 4414 was imaged by the Hubble Space Telescope as part of the HST Key Project on the Extragalactic Distance Scale. Images were obtained with Hubble's Wide Field Planetary Camera 2 (WFPC2) through three different color filters. Based on their discovery and careful brightness measurements of variable stars in NGC 4414, the Key Project astronomers were able to make an accurate determination of the distance to the galaxy. The resulting distance to NGC 4414, 19.1 megaparsecs or about 60 million light-years, along with similarly determined distances to other nearby galaxies, contributes to astronomers' overall knowledge of the rate of expansion of the universe. The Hubble constant (Ho) is the ratio of how fast galaxies are moving away from us to their distance from us. This astronomical value is used to determine distances, sizes, and the intrinsic luminosities for many objects in our uni verse, and the age of the universe itself. Library of Congress Cataloging-in-Publication Data Cox,Arthur Allen 's astrophysical quantities/editor, Arthur Cox. p. cm. Includes bibliographical references. Additional material to this book can be downloaded from http://extras.springer.com. 1. Astrophysical-Tables. 1. Cox, Arthur N. QB461.A7685. 1999 523.01'021-dc21 98-53154 ISBN 978-1-4612-7037-9 ISBN 978-1-4612-1186-0 (eBook) DOI 10.1007/978-1-4612-1186-0 Printed on acid-free paper. © 2002 Springer Science+Business MediaNe w York Originally published by Springer-Verlag New York, lnc., AII rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. This publication is based on sources and information believed to be reliable, but the publisher and the authors disclaim any warranty or liability based on or relating to the contents of this publication. The publisher does not endorse any product, manufacturers, or suppliers. Nothing in this book should be interpreted as implying such endorsement. While the advice and information in this book are believed to be true and accurate at the date of going to press, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Production managed by Frank MC(Juckin; manufacluring supervised by Jeffrey Taub and L.uke Jensen. Photocomposed copy prepared from lhe edilor's TeX files. 987654321 Preface This handbook is the result of compilations and writing of ninety authors who have worked over a period of nine years to revise the famous Allen's Astrophysical Quantities. The need for such a revision had been known since shortly after the last edition edited by C.W. Allen in 1972. Even though his 1973 edition remained in print through the late 1980s, Allen himself called for help in revising the book in that third edition Preface. His death unfortunately prevented any revision, and only a few attempts known to me were made by interested astronomers. By 1990, with the third edition completely outdated, Arlo Landolt convinced the American Institute of Physics that they should undertake extensive revisions of the Allen book. How my name came up, in late 1990, I do not know, but once friends discovered I had been solicited by the AlP, they all encouraged me to find the various astrophysics experts to prepare this new edition, published jointly by the AlP and Springer-Verlag. The task of finding suitable authors and anonymous referees for the chapters was made easier by the help of Peter Boyce at the American Astronomical Society and its publications board. Chairpersons Caty Pilachowski, Hugh Van Horn, Jim Liebert, and Bob Hanisch suggested and helped recruit many contributors. Numerous AAS officials, especially Roger Bell, helped me and the authors interface with AlP and Springer. The basic structure of the earlier Allen editions has been followed, but many changes were necessary. For example, radio astronomy was represented by Allen with a page-long table of sources and a few supplementary ones plus some data about solar radio emission. Today a complete chapter is necessary, and even that does not seem to be as much as the author and I would have liked to include. Other advances in astrophysics have required us to include new chapters for infrared, ultraviolet, X-ray, and gamma-ray and neutrino astronomy. The explosion in observations of our solar system has resulted in a great expansion in information about these nearby bodies, as well as for our Sun itself. Later in the development of this book we found that we needed to add a chapter about stellar evolution because the level of understanding essentially the entire lives of stars had matured enormously. Most dramatically, modem large telescopes have revealed huge quantities of data about galaxies, galaxy clusters, and their exotic emissions. Three separate chapters cover different aspects of this material. A much expanded Cosmology chapter was needed to include our current understanding of the structure of the Universe. Finally, we have added many supplemental tables including an attempt to list the world's largest optical telescopes, with the help of Kari Parker, that surely will be out of date soon. While writing the chapters, many authors found that they needed some specialists to supply and even write sections that were beyond their current knowledge. These section authors are not given in the table of contents, but only at the start of the sections where they contributed. Thanks are due to these scientists who have supplied important information that we found relevant, often rather late in the book development. Their submissions could easily merit a mention in the table of contents, but the complicated process of assembling this greatly revised handbook and keeping its structure in control has resulted in this special format. Readers must realize that a project that involves ninety otherwise very busy astrophysicists is bound to be uneven. Some authors were able to get their material to me as early as mid-1992, while others were not even solicited by me for last-minute data until mid-1998. Our plan to include updates to a uniform date for all chapters could not be carried out because of its complexity, but some data as recent as the summer of 1999 are included. Readers are invited to contact individual authors directly for details. Our hope is that we have adequately pointed the way to the extensive literature for each subject. v vi I PREFACE Some astrophysicists have already decided to adopt our carefully compiled data as standard for their own special lists. This is reasonable, since this new Allen edition has been prepared by the world's experts in the various areas of astrophysics. One thing we have learned is that definitive data depend on interpretations for those last little details, and the best source for the most current and accurate data is always the experts. We hope our authors are these. The contents of this new edition of Allen will be available in electronic form with many tables and graphs "live" for interactive searching, correlating, interpolating, and so forth. The electronic version will be available by subscription and kept up-to-date on the publisher's web site (www.springer-ny.com) and will also be available as a CD-ROM for use on a Windows PC. At the minimum, these electronic data will greatly assist in future editions. Every publishing undertaking ends with regrets that some things could not be included. Thus all should realize that our book is a good reference book, but it still misses, for example, the newly published definitive NIST physical constants, the recent discovery of a satellite around the asteroid (45) Eugenia, the growing list of brown dwarf candidates, a new and unexpected class of intrinsic variable (Gamma Doradus) stars, and the latest gamma burst explosions now optically detected from the far reaches of our Universe. The organization of these new astrophysical quantities into an additional concise revised-again edition awaits future generations of authors, I hope as skilled and dedicated as ours. Los Alamos, New Mexico Arthur N. Cox October 1999 [email protected] Contents Preface v Contributors xv 1 Introduction Arthur N. Cox 1 1.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Astronomical Symbols ............... . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Astronomical and Astrophysical Journals ... . . . . . . . . . . . . . . . . . . . . . . . . 2 2 General Constants and Units Arthur N. Cox 7 2.1 Mathematical Constants ..................................... 7 2.2 Physical Constants ........................................ 8 2.3 General Astronomical Constants ................................ 12 2.4 Astronomical Constants Involving Time . . . . . . . . . . . . . . . . . . . . . . . . . . ., 13 2.5 Units ................................................ , 17 2.6 Electric and Magnetic Unit Relations. . . . . . . . . . . . . . . . . . . . . . . . . . . . ., 22 3 Atoms and Molecules Werner Diippen 27 3.1 Online Databases and Other Sources 27 3.2 Elements, Atomic Mass, and Solar-System Abundance . . . . . . . . . . . . . . . . . . . 28 3.3 Excitation, Ionization, and Partition Functions . . . . . . . . . . . . . . . . . . . . . . . . 31 3.4 Ionization Potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.5 Electron Affinities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.6 Atomic Cross Sections for Electronic Collisions . . . . . . . . . . . . . . . . . . . . . . . 35 3.7 Atomic Radii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.8 Particles of Modem Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.9 Molecules ............................................. . 45 3.10 Plasmas 47 4 Spectra Charles Cowley, Wolfgang L Wiese, Jeffrey Fuhr, and Ludmila A. Kuznetsova 53 4.1 Online Database . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4.2 Terminology for Atomic States, Levels, Terms, etc. . . . . . . . . . . . . . . . . . . . . . 54 4.3 Electronic Configurations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.4 Spectrum Line Intensities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.5 Relative Strengths Within Multiplets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.6 Wavelengths and Wave Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 4.7 Atomic Oscillator Strengths for Allowed Lines . . . . . . . . . . . . . . . . . . . . . . . . 69 4.8 Nuclear Spin and Hyperfine Structure: Low-Level Hyperfine Transitions ....... . 78 4.9 Forbidden Line Transition Probabilities ....... . . . . . . . . . . . . . . . . . . . . . 79 vii viii / CONTENTS 4.10 Spectra of Diatomic Molecules ................................. 83 4.11 Energy Levels ........................................... 85 4.12 Transitions ............................................. 87 4.13 Selection Rules: Dipole Radiation ............................... 89 5 Radiation J.J. Keady and D.P. Kilcrease 95 5.1 Radiation Quantities and Interrelations . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 95 5.2 Refractive Index and Average Polarizability . . . . . . . . . . . . . . . . . . . . . . . . .. 100 5.3 Absorption and Scattering by Particles . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 102 5.4 Photoionization and Recombination .............................. 106 5.5 X-Ray Attenuation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 109 5.6 Absorption of Material of Stellar Interiors . . . . . . . . . . . . . . . . . . . . . . . . . .. 11 0 5.7 Absorption of Material of the Solar Photosphere . . . . . . . . . . . . . . . . . . . . . .. 114 5.8 Solar Photoionization Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 114 5.9 Free-Free Absorption and Emission ...... . . . . . . . . . . . . . . . . . . . . . . .. 115 5.10 Reflection from Metallic Mirrors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 117 5.11 Visual Photometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 117 6 Radio Astronomy Robert M. HjeUming 121 6.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 121 6.2 Atmospheric Window and Sky Brightness . . . . . . . . . . . . . . . . . . . . . . . . . .. 123 6.3 Radio Wave Propagation .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 125 6.4 Radio Telescopes and Arrays .................................. 128 6.5 Radio Emission and Absorption Processes. . . . . . . . . . . . . . . . . . . . . . . . . .. 131 6.6 Radio Astronomy References ......... . . . . . . . . . . . . . . . . . . . . . . . .. 140 7 Infrared Astronomy A. T. Tokunaga 143 7.1 Useful Equations; Units. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 143 7.2 Atmospheric Transmission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 144 7.3 Background Emission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 146 7.4 Detectors and Signal-to-Noise Ratios. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 148 7.5 Photometry ().. < 30 JLm) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 149 7.6 Photometry ().. > 30 JLm) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 154 7.7 Infrared Line List ......................................... 155 7.8 Dust . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 158 7.9 Solar System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 161 7.10 Stars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 163 7.11 Extragalactic Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 164 8 Ultraviolet Astronomy Terry J. Teays 169 8.1 Ultraviolet Wavelengths. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 169 8.2 Ultraviolet Astronomy Satellite Missions .... . . . . . . . . . . . . . . . . . . . . . .. 170 8.3 Significant Atlases and Catalogs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 172 8.4 Interstellar Extinction in the Ultraviolet . . . . . . . . . . . . . . . . . . . . . . . . . . .. 174 8.5 Commonly Observed Ultraviolet Emission Lines. . . . . . . . . . . . . . . . . . . . . .. 175 CONTENTS / ix 8.6 Ultraviolet Spectral Classification . . . . . . . . . . . . . . . . . . . . . . . . 178 8.7 Ultraviolet Spectrophotometric Standards . . . . . . . . . . . . . . . . . . . 180 9 X-Ray Astronomy Frederick D. Seward 183 9.1 Useful Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 9.2 Characteristic X-Ray Transitions . . . . . . . . . . . . . . . . . . . . . . .. . ..... 184 9.3 Emission Mechanisms and Spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 9.4 Transmission of X-Rays Through the Interstellar Medium ................ . 194 9.5 Cosmic X-Ray Sources ..................................... . 198 9.6 Diffuse Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 9.7 X-Ray Astronomy Missions .................................. . 205 10 V-Ray and Neutrino Astronomy R.E. Lingenfelter and R.E. Rothschild 207 10.1 Continuum Emission Processes . . . . . . . . . . . . . . . . . 207 10.2 Line Emission Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208 10.3 Scattering and Absorption Processes . . . . . . . . . . . . . . . . . . . . 213 10.4 Astrophysical v-Ray Observations .................... . 216 10.5 Neutrinos in Astrophysics ......................... . 235 10.6 Current Neutrino Observatories ...................... . 237 11 Earth Gerald Schubert and Richard L. Walterscheid 239 11.1 Oblate Ellipsoidal Reference Figure ...... . 240 11.2 Mass and Moments of Inertia .......... . 240 11.3 Gravitational Potential and Relation to Products of Inertia . . . . . . . . . . . . 241 11.4 Topography ...................................... . 243 11.5 Rotation (Spin) and Revolution About the Sun .................. . 244 11.6 Gravity ......................................... . 245 11.7 Geoid ........................................... . 245 11.8 Coordinates ................................... . 246 11.9 Solid Body Tides ................................ . 246 11.10 Geological Time Scale .............................. . . . . . . . 248 11.11 Glaciations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 11.12 Plate Tectonics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252 11.13 Earth Crust .................................... . 252 11.14 Earth Interior ................................... . 255 11.15 Earth Atmosphere, Dry Air at Standard Temperature and Pressure (STP) 257 11.16 Composition of the Atmosphere ....................... . 258 11.17 Water Vapor ................................... . 259 11.18 Homogeneous Atmosphere, Scale Heights and Gradients ........ . 259 11.19 Regions of Earth's Atmosphere and Distribution with Height ...... . 260 11.20 Atmospheric Refraction and Air Path. . . . . . . . . . . . . . . . . . . . . . 262 11.21 Atmospheric Scattering and Continuum Absorption . . . . . . . . . . . . . 265 11.22 Absorption by Atmospheric Gases at Visible and Infrared Wavelengths . 268 11.23 Thermal Emission by the Atmosphere . . . . . . . . . . . . . . . . . . . . . 270 11.24 Ionosphere .................................... . 271 11.25 Night Sky and Aurora ............................. . 279 x I CONTENTS 11.26 Geomagnetism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 282 11.27 Meteorites and Craters ...................................... 285 12 Planets and Satellites David J. Tholen, Victor G. Tejfel, and Arthur N. Cox 293 12.1 Planetary System. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 293 12.2 Orbits and Physical Characteristics of Planets. . . . . . . . . . . . . . . . . . . . . . . .. 294 12.3 Photometry of Planets and Asteroids. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 298 12.4 Physical Conditions on Planets ................................. 300 12.5 Names, Designations, and Discoveries of Satellites ..................... 302 12.6 Satellite Orbits and Physical Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 303 12.7 Moon ................................................ 308 12.8 Planetary Rings .......................................... 311 13 Solar System Small Bodies Richard P. Binzel, Martha S. Hanner, and Duncan I. Steel 315 13.1 Asteroids or Minor Planets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 315 13.2 Comets ............................................... 321 13.3 Zodiacal Light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 328 13.4 Infrared Zodiacal Emission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 331 13.5 Meteoroids and Intetplanetary Dust. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 333 14 SUD William C. Livingston 339 14.1 Basic Data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 340 14.2 Interior Model ........................................, . .. 341 14.3 Solar Oscillations ......................................... 342 14.4 Photospheric-Chromospheric Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 348 14.5 Spectral Lines ........................................... 351 14.6 Spectral Distribution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 353 14.7 Limb Darkening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 355 14.8 Corona................................................ 357 14.9 Solar Rotation ........................................... 362 14.10 Granulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 364 14.11 Surface Magnetism and its Tracers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 364 14.12 Sunspots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 367 14.13 Sunspot Statistics ......................................... 370 14.14 Flares and Coronal Mass Ejections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 373 14.15 Solar Radio Emission ....................................... 375 15 Normal Stars John S. Drilling and Arlo U. Landolt 381 15.1 Stellar Quantities and Interrelations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 381 15.2 Spectral Classification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 383 15.3 Photometric Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 385 15.4 Stellar Atmospheres. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 393 15.5 Stellar Structure .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 395

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This new, fourth, edition of Allen's classic Astrophysical Quantities belongs on every astronomer's bookshelf. It has been thoroughly revised and brought up to date by a team of more than ninety internationally renowned astronomers and astrophysicists. While it follows the basic format of the origin
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